Question

For the function defined by , if x is doubled, what is the effect on y? a. y is quartered c. y stays the same b. y is doubled d. y is tripled

Answer 1

The function is
y =
`(1)/(x^(2) )` ----1.

Plug x = 2x in 1.
∴y` =
`(1)/((2x)^(2) ) = (1)/(4x^(2) )` ----- 2.

Divide 1 and 2. You will get,

y = 4 y`
Therefore, y is quartered